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Finding the Fourth Proportional to 650.72, 975.20 and 265.76

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Solution

The fourth proportional to 650.72, 975.20 and 265.76 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.72 : 975.20 = 265.76 : x
  2. Step 2: Convert to fraction form
    650.72/975.20 = 265.76/x
  3. Step 3: Cross multiply
    650.72x = 975.20 × 265.76
  4. Step 4: Simplify right side
    650.72x = 259,169.15
  5. Step 5: Solve for x
    x = 259,169.15/650.72
  6. Step 6: Final answer
    x = 398.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.